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Finding the Fourth Proportional to 560.49, 836.96 and 457.98

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Solution

The fourth proportional to 560.49, 836.96 and 457.98 is: 683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.49 : 836.96 = 457.98 : x
  2. Step 2: Convert to fraction form
    560.49/836.96 = 457.98/x
  3. Step 3: Cross multiply
    560.49x = 836.96 × 457.98
  4. Step 4: Simplify right side
    560.49x = 383,310.94
  5. Step 5: Solve for x
    x = 383,310.94/560.49
  6. Step 6: Final answer
    x = 683.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.